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Finding the Fourth Proportional to 403,811.50, 557,271.40 and 224,975.02

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Solution

The fourth proportional to 403,811.50, 557,271.40 and 224,975.02 is: 310,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,811.50 : 557,271.40 = 224,975.02 : x
  2. Step 2: Convert to fraction form
    403,811.50/557,271.40 = 224,975.02/x
  3. Step 3: Cross multiply
    403,811.50x = 557,271.40 × 224,975.02
  4. Step 4: Simplify right side
    403,811.50x = 125,372,144,360.43
  5. Step 5: Solve for x
    x = 125,372,144,360.43/403,811.50
  6. Step 6: Final answer
    x = 310,471.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.